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Finding the Fourth Proportional to 38,503.50, 53,134.83 and 21,736.50

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Solution

The fourth proportional to 38,503.50, 53,134.83 and 21,736.50 is: 29,996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503.50 : 53,134.83 = 21,736.50 : x
  2. Step 2: Convert to fraction form
    38,503.50/53,134.83 = 21,736.50/x
  3. Step 3: Cross multiply
    38,503.50x = 53,134.83 × 21,736.50
  4. Step 4: Simplify right side
    38,503.50x = 1,154,965,232.30
  5. Step 5: Solve for x
    x = 1,154,965,232.30/38,503.50
  6. Step 6: Final answer
    x = 29,996.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.